Fractions and Cake: A Simple Math Problem for SEO

In this article, we'll break down a simple math problem involving fractions and a cake. We'll explore the concept step by step, making sure to understand each part of the solution. Understanding fractions is crucial in many areas of math, and this problem is a great example of how to apply them in a real-world scenario. Additionally, this content is optimized for SEO to ensure it is easy for search engines to understand and index.

Introduction to the Problem

Andrew has a cake and decides to keep part of it and give the rest to his friends in a specific way. This problem requires understanding how to calculate fractions and their division.

Step-by-Step Solution

Let's start by identifying the initial fractions of the cake.

Calculate the Remainder of the Cake

Andrew keeps (frac{3}{5}) of the cake. This means the remainder is the whole cake minus the part Andrew keeps.

(1 - frac{3}{5} frac{2}{5})

So, (frac{2}{5}) of the cake is left for Andrew's friends.

Determine the Portion Given to Friends

Andrew decides to give (frac{1}{3}) of the remainder to his 4 friends equally. This means we need to find (frac{1}{3}) of (frac{2}{5}).

(frac{1}{3} times frac{2}{5} frac{2}{15})

Calculate Each Friend's Portion

Since there are 4 friends, each friend receives an equal share of the (frac{2}{15}) of the cake.

(frac{2}{15} div 4 frac{2}{15} times frac{1}{4} frac{2}{60})

Since (frac{2}{60}) simplifies to (frac{1}{30}), each friend receives (frac{1}{30}) of the cake.

Conclusion

Each of Andrew's friends received (frac{1}{30}) of the cake. This problem demonstrates the importance of understanding fractions and their division in practical scenarios.

Related Articles and Keywords

For more math problems and explanations, consider checking out the following articles:

Understanding Division of Fractions Proper and Improper Fractions Explained Step-by-Step Guide to Working with Fractions

Related Keywords:

Fraction Cake Problem Division and Fractions

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